We present a simpler proof of the known theorem that a fixed-point free homeomorphism on an n-dimensional paracompact space can be colored with n + 3 colors.
✦ LIBER ✦
Short proofs of coloring theorems on planar graphs
✍ Scribed by Borodin, Oleg V.; Kostochka, Alexandr V.; Lidický, Bernard; Yancey, Matthew
- Book ID
- 121694975
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 373 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0195-6698
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## Abstract We give proofs of Ore's theorem on Hamilton circuits, Brooks' theorem on vertex coloring, and Vizing's theorem on edge coloring, as well as the Chvátal‐Lovász theorem on semi‐kernels, a theorem of Lu on spanning arborescences of tournaments, and a theorem of Gutin on diameters of orient